This problems requires using approximations. First set up the calculation as follows using 1 stadia = 157.5m

24902 mi * (1.61km/1 mi) * (1000m/1km) * (1 stadia/157.5m)

Notice that if you multiply 1.61 by 100 it is 161. This can be canceled out with 157.5 because we are using approximations. After canceling we get:

24902 * 10 = 249020 (the 1000m became 10 because we multiplied 1.61 by 100)

Eratosthenes estimated 252,000 so his error was 3000/249000 which is about 1%. A is correct because none of the other answers are close to 1%.

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